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Finding the Fourth Proportional to 557,009.84, 768,691.89 and 315,287.22

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Solution

The fourth proportional to 557,009.84, 768,691.89 and 315,287.22 is: 435,106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,009.84 : 768,691.89 = 315,287.22 : x
  2. Step 2: Convert to fraction form
    557,009.84/768,691.89 = 315,287.22/x
  3. Step 3: Cross multiply
    557,009.84x = 768,691.89 × 315,287.22
  4. Step 4: Simplify right side
    557,009.84x = 242,358,729,506.15
  5. Step 5: Solve for x
    x = 242,358,729,506.15/557,009.84
  6. Step 6: Final answer
    x = 435,106.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.